Answer:
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?
Answer:
Step-by-step explanation:
Given ratio of boys and girls in the class =7:5
No of boys is 8more than the girls
So
Let no of boys in the class =7x
No of girls in the class=5x
7x=5x+8
2x=8
X=8/2
X=4.
Total strength =no of boys + no of girls
=7x+5x
=7×4+5×4
= 28+20
=48.
Total strength in the class is 48.
Answer:
Total class strength = 48
Step-by-step explanation:
Boys : Girls = 7 : 5
Number of boys = 7x
Number of girls = 5x
7x - 5x = 8
2x = 8
x = 8/2
x = 4
Total strength = 7x + 5x = 12x = 12*4 = 48
Correlation is a measure of the extent to which two factors Group of answer choices vary together. are random samples. influence each other. are dependent variables.
Correlation is a measure of the extent to which two factors vary together. Correlation denotes the relationship between two variables. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral.
Positive correlation denotes that the variables move together in the same direction, whereas negative correlation denotes that the variables move in opposite directions. Neutral correlation denotes that there is no relationship between the variables. Correlation is a technique that is used in statistics to identify the strength of the relationship between two variables. Correlation can be used to identify the strength of the linear relationship between two variables. Correlation measures the degree to which two variables vary together, in other words, it measures how much the variables are associated with one another. Correlation is used to identify the relationship between two variables. If there is a strong correlation between two variables, it indicates that there is a strong relationship between the variables. Correlation analysis helps in determining the strength and direction of the relationship between the variables. The correlation coefficient is used to measure the strength of the relationship. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation. The correlation coefficient of 0 indicates that there is no correlation between the variables.
Correlation is a measure of the extent to which two factors vary together. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral. Correlation is used to identify the relationship between two variables. The correlation coefficient is used to measure the strength of the relationship between the variables. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation.
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need help w algebra pls asap. i’ll mark brainlist!!
Answer:
The mistake is that they left the i^2 as it is instead of making it -1 because i is the square root of -1. You fix this by replacing i^2 by -1 and you will get (4-7i)/5
Step-by-step explanation:
A Buffalo school district randomly tests its employees to determine how many have gotten the flu shot this season. Their sample shows that 15 of them have gotten it, and 27 have not. Estimate the true proportion of employees in the district who have gotten a flu shot, with a 90% confidence level. Check conditions to see if you can use normal sampling distribution for sample proportion
Using the z-distribution, as we are working with a proportion, the 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).
What is a confidence interval of proportions?As long as there are 10 successes and 10 failures in the sample, that is, \(n\pi \geq 10\) and \(n(1 - \pi) \geq 10\), a confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are:
\(n = 42, \pi = \frac{15}{42} = 0.3571, z = 1.645\)
We have the \(n\pi = 15, n(1 - \pi) = 27\), hence you can find the interval.
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 - 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.2355\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 + 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.4787\)
The 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).
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Draw the Hasse diagrams for each of the following par- tial orders. (a) ([1, 2, 3, 4, 5, 6), <) (b) ({{a). (a, b), (a, b, c), (a, b, c, d), (a.c}, {c. d)]. S)
The Hasse diagrams for each of the following par- tial orders shown below.
(a) The Hasse diagram for the partial order ([1, 2, 3, 4, 5, 6), <) can be represented as follows:(attched below).
In this diagram, each number represents an element from the set [1, 2, 3, 4, 5, 6), and the arrows indicate the order relation "<" between the elements.
For example, 1 is less than both 2 and 3, and 2 is less than both 4 and 5.
(b) The Hasse diagram for the partial order ({{a). (a, b), (a, b, c), (a, b, c, d), (a.c}, {c. d)]. S) can be represented (attched).
In this diagram, each element represents a subset of the given set, and the arrows indicate the subset relation "⊆" between the elements.
For example, (a, b, c) is a subset of (a, b, c, d), and (a, b) is a subset of (a, b, c).
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A spherically symmetric charge distribution has the following radial dependence for the volume charge density rho: 0 if r R where γ is a constant a) What units must the constant γ have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r R. (Hint: if the charge distribution is spherically symmetric, what can you say about the electric field?) d) Repeat part c) using the differential form of Gauss's law (you may again simplify the calculation with symmetry arguments e) Using any method of your choice, determine the electric field in the region r> R. f) Suppose we wish to enclose this charge distribution within a hollow, conducting spherical shell centered on the origin with inner radius a and outer radius b (R < < b) such that the electric field for the region r > b is zero. In this case. what is the net charge carried by the spherical shell How much charge is located on the inner radius a and the outer radius rb? What is the electric field in the regions r < R, R
The electric field in the region r > R is given by E(r) = Er = (1/3)4πR^3γ/ε0r^2.
a) The units of the constant γ would be [charge]/[distance]^3 since it is a volume charge density.
b) The total charge contained in the sphere of radius R centered at the origin is given by the volume integral:
Q = ∫ρdV = ∫0^R 4πr^2ρ(r)dr
Substituting the given form for ρ(r):
Q = ∫0^R 4πr^2γr^2dr = 4πγ∫0^R r^4dr = (4/5)πR^5γ
Therefore, the total charge contained in the sphere is (4/5)πR^5γ.
c) By Gauss's law, the electric field at a distance r > R from the origin is given by:
E(r) = Qenc/ε0r^2
where Qenc is the charge enclosed within a sphere of radius r centered at the origin. Since the charge distribution is spherically symmetric, the enclosed charge at a distance r > R is simply the total charge within the sphere of radius R. Therefore, we have:
E(r) = (1/4πε0)Q/R^2 = (1/4πε0)(4/5)πR^5γ/R^2 = (1/5ε0)R^3γ
d) Using the differential form of Gauss's law, we have:
∇·E = ρ/ε0
Since the charge distribution is spherically symmetric, the electric field must also be spherically symmetric, and hence only radial component of electric field will be present. Therefore, we can write:
∂(r^2Er)/∂r = ρ(r)/ε0
Substituting the given form for ρ(r):
∂(r^2Er)/∂r = 0 for r < R
∂(r^2Er)/∂r = 4πr^2γ/ε0 for r > R
Integrating the second equation from R to r, we get:
r^2Er = (1/3)4πR^3γ/ε0 + C
where C is an arbitrary constant of integration. Since the electric field must be finite at r = 0, C = 0. Therefore, we have:
Er = (1/3)4πR^3γ/ε0r^2 for r > R
Therefore, the electric field in the region r > R is given by:
E(r) = Er = (1/3)4πR^3γ/ε0r^2
e) Another method to determine the electric field in the region r > R is to use Coulomb's law, which states that the electric field due to a point charge q at a distance r from it is given by:
E = kq/r^2
where k is Coulomb's constant. We can express the total charge within a sphere of radius r as Q(r) = (4/5)πr^3γ, and hence the charge density at a distance r > R as ρ(r) = (3/r)Q(r). Therefore, the electric field due to the charge within a spherical shell of radius r and thickness dr at a distance r > R from the origin is:
dE = k[3Q(r)dr]/r^2
Integrating this expression from R to infinity, we get:
E = kQ(R)/R^2 = (1/4πε0)(4/5)πR^5γ/R^2 = (1/5ε
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3. A cell phone plan costs $0.20 cents per minute. Lisa
has budgeted $35 a month for her cell phone. How
many minutes Lisa can use each month?
Answer:
175 minutes or 2 hrs and 55 minutes
Step-by-step explanation:
35÷0.20 and you'll get 175
If cell phone plan costs $0.20 cents per minute. Lisa has budgeted $35 a month for her cell phone then 175 minutes Lisa can use each month
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that A cell phone plan costs $0.20 cents per minute.
Lisa has budgeted $35 a month for her cell phone.
We need to find how many minutes Lisa can use each month.
Let us form a proportional equation to find this.
Let x be the number of minutes Lisa can use each month.
0.20/1=35/x
Apply cross multiplication
x=35/0.2
x=175
Hence, 175 minutes Lisa can use each month.
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What is the slope of (10, 10) and (2, 1).
Answer:
9/8
Step-by-step explanation:
my work is in the picture. lmk if you'd like me to explain more
Determine over what interval(s) (if any) the mean value theorem applies.
y = ln(3x − 8)
Answer:
(8/3, ∝)
Step-by-step explanation:
Definition
The Mean Value Theorem states that for a continuous and differentiable function \(f(x)\) on the closed interval [a,b], there exists a number c from the open interval (a,b) such that \(\bold{f'(c)=\frac{f(b)-f(a)}{b-a}}\)
Note:
A closed interval interval includes the end points. Thus if a number x is in the closed interval [a, b] then it is equivalent to stating a ≤ x ≤ b.
An open interval does not include the end points so if x is in the open interval (a, b) then a < x < b
This distinction is important
The function is \(y = f(x)=\ln\left(3x-8\right)\)
Let's calculate the first derivative of this function using substitution and the chain rule
Let
\(u(x) = 3x-8\\\\\frac{du}{dx} = \frac{d}{dx}(3x-8) = \frac{d}{dx}(3x) - \frac{d}{dx}8 = 3 - 0 =3\\\\\)
Substituting in the original function f(x), we get
\(y = ln(u)\\\\dy/du = \frac{1}{u}\)
Using the chain rule
\(\frac{dy}{dx}=\frac{dy}{du}.\frac{du}{dx}\)
We get
\(\frac{dy}{dx}=\frac{1}{u}3=\frac{1}{3x-8}3=\frac{3}{3x-8}\)
This has a real value for all values of x except for x = 8/3 because at x = 8/3, 3x - 8 = 0 and division by zero is undefined
Now \(ln(x)\) is defined only for values of x > 0. That means 3x-8 > 0 ==> 3x > 8 or x > 8/3
There is no upper limit on the value of x for ln(x) since ln(x) as x approaches ∝ ln(x) approaches ∝ and as x approaches ∝ 3/(3x-8) approaches 0
So the interval over which the mean theorem applies is the open interval (8/3, ∝)
At x = 8/3 the first derivative does not exist
Graphing these functions can give you a better visual representation
(1) Find the probability P(z < -0.51) using the standard normal distribution
(2)Find the probability P(z > 0.73) using the standard normal distribution.
3)) Find the probability P(-0.99 < z < 1.16) using the standard normal distribution
4)Find the probability P(z > -0.64) using the standard normal distribution.
5)What is the z value such that 50% of the total area under the standard normal distribution curve lies to the right of it?
6)) Find the z value to the right of the mean such that 85% of the total area under the standard normal distribution curve lies to the left of it?
(1) P(z < -0.51) = 0.3046
(2) P(z > 0.73) = 0.2327
(3) P(-0.99 < z < 1.16) = 0.8222
(4) P(z > -0.64) = 0.7419
(5) The z value such that 50% of the total area lies to the right of it is z = 0.
(6) The z value to the right of the mean such that 85% of the total area lies to the left of it is z = -1.036.
What is Probability?
Probability is a measure of the likelihood or chance that a specific event will occur. It quantifies the uncertainty associated with an event and is expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty. In other words, probability indicates the proportion of times an event is expected to occur out of all possible outcomes. It plays a fundamental role in statistics, mathematics, and various fields where uncertainty and random events are involved.
Let's go through each question and explain the solutions:
(1) P(z < -0.51) represents the probability that a standard normal random variable is less than -0.51. By looking up this value in the standard normal distribution table or using a calculator, we find that the probability is approximately 0.3046.
(2) P(z > 0.73) represents the probability that a standard normal random variable is greater than 0.73. Again, by looking up this value or using a calculator, we find that the probability is approximately 0.2327.
(3) P(-0.99 < z < 1.16) represents the probability that a standard normal random variable falls between -0.99 and 1.16. By finding the individual probabilities for each interval and subtracting them, we get a probability of approximately 0.8222.
(4) P(z > -0.64) represents the probability that a standard normal random variable is greater than -0.64. Using the standard normal distribution table or a calculator, we find that the probability is approximately 0.7419.
(5) The z value such that 50% of the total area lies to the right of it corresponds to the median of the standard normal distribution. Since the standard normal distribution is symmetric, the median is at z = 0.
(6) To find the z value to the right of the mean such that 85% of the total area lies to the left of it, we look for the z value that corresponds to the cumulative probability of 0.85. By using the standard normal distribution table or a calculator, we find that the z value is approximately -1.036.
In summary, these questions involve finding probabilities associated with the standard normal distribution using z-scores.
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In a certain town 2/3 of the adult men are married to 3/5 of the adult women. Assume that all marriages are monog- amous (no one is married to more than one other person). Also assume that there are at least 100 adult men in the town. What is the least possible number of adult men in the town
The least possible number of adult men in the town is 100.
Given that in a certain town, 2/3 of the adult men are married to 3/5 of the adult women. Also, we have to assume that all marriages are monogamous (no one is married to more than one other person). Thus, we have to determine the least possible number of adult men in the town. Let us solve this question using the following steps: Let the total number of adult men in the town be x. Since 2/3 of adult men are married, the number of married men in the town = 2/3x. Also, the remaining number of unmarried men = x - 2/3x = 1/3x.According to the question, 3/5 of adult women are married to 2/3 of adult men.
Thus, we have to assume that there are 2/3x married men and 3/5 of women are married. Therefore, the number of married women in the town = 3/5 × total number of women Number of women = Total number of men × 3/2 (since, 3/5 of women are married to 2/3 of men)Number of women = x × 3/2 × 3/5 = 9/10x∴ Number of married women in the town = 3/5 × 9/10x = 27/50x Since all marriages are monogamous, the number of married men and women in the town should be equal. 2/3x = 27/50x2/3 * 50 = 27/50 * x(2/3 * 50)/(27/50) = x=100 Therefore, the least possible number of adult men in the town is 100.
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Answer the question in the photo
PLEASE HURRY IM IN THE TEST RIGHT NOW!!!!!
Plot ΔABC on graph paper with points A(10,4), B(-1,1), and C(4,2). Reflect ΔABC by multiplying the x-coordinates of the vertices by −1. Then use the function (x,y)→(x−5,y+4) to translate the resulting triangle. Name the coordinates of the vertices of the result.
Question 4 options:
A'(-10,4), B'(1,1), C'(-4,2)
A'(-15,8), B'(-4,5), C'(-9,6)
A'(-8,15), B'(-5,4), C'(-6,1)
A'(-4,-10), B'(-1,1), C'(-2,-4)
These are the coordinates of the Vertices of the resulting triangle after performing the given transformations.the resulting vertices after the reflection and translation are: A'(-15, 8) B'(-4, 5) C'(-9, 6)
The triangle ΔABC and perform the given transformations, let's start by plotting the original triangle ΔABC on a graph:
Poin A: (10, 4)
Point B: (-1, 1)
Point C: (4, 2)
Now, let's reflect the triangle ΔABC by multiplying the x-coordinates of the vertices by -1:
Reflected Point A': (-10, 4)
Reflected Point B': (1, 1)
Reflected Point C': (-4, 2)
Next, let's use the given translation function (x, y) → (x - 5, y + 4) to translate the reflected triangle:
Translated Point A'': (-10 - 5, 4 + 4) = (-15, 8)
Translated Point B'': (1 - 5, 1 + 4) = (-4, 5)
Translated Point C'': (-4 - 5, 2 + 4) = (-9, 6)
Therefore, the resulting vertices after the reflection and translation are:
A'(-15, 8)
B'(-4, 5)
C'(-9, 6)
These are the coordinates of the vertices of the resulting triangle after performing the given transformations.
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2 3 4 5 6 7 8 9 10
TIME REMAINING
41:13
The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
7:13
13:7
4:7
7:4
If one loaf of brown bread requires 450g of flour, determine the maximum number of loafs of brown bread that can be baked from a 12,5kg bag of flour
Answer:
The maximum number of loafs of brown bread that can be baked from a 12,5kg bag of flour is 27.5.
This is calculated by dividing the weight of the bag of flour by the amount of flour required for one loaf of brown bread.
12.5kg / 450g = 27.5
Help me plz it’s due today
Answer:
A
Step-by-step explanation: Your salary will be greater than or equal to $46,000.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
The measure of the angle indicated in the intersecting chords is determined as 104⁰.
What is the measure of the angle indicated?The measure of the angle indicated is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
the indicated angle = ?
We will have the following equation, to determine the value of the angle.
? = ¹/₂ (130 + 78 ) (interior angle of intersecting secants)
? = 104⁰
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Write the sum as a mixed number so the fraction part is less than 1 is 2 2/3 + 3. 2/3
The sum as a mixed number is 19/3.
What is simplification?
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplification means simplifying processes involved in work towards consistency of efforts, costs, and time. It eliminates useless and disadvantageous (or unnecessary) diversity and variety.
Here, we ave
Given: 2 2/3 + 3 2/3
We have to simplify this given term and find the sum as a mixed number.
We apply simplification here and we get
= 2 2/3 + 3 2/3
= 8/3 + 11/3
= 19/3
Hence, the sum as a mixed number is 19/3.
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Allie and Ezra are sitting on flagpoles, throwing beanbags at each other. Allie's flagpole is $35$ feet tall. Ezra's flagpole is $27$ feet tall. The flagpoles stand $15$ feet apart. How far, in feet, does Ezra have to throw a beanbag to reach Allie
Ezra has to throw a beanbag 17 feet far to reach Allie
According to the question,
The distance between Allie and Ezra's flagpoles is 15 feet
length of Allie's flagpole = 35 feet
length of Ezra's flagpole = 27 feet
Difference between Allie and Ezra's flagpole = (35 - 27) feet
= 8 feet
Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.
Using Pythagoras theorem,
\(H^{2} = B^{2} + A^{2}\)
where H = hypotenuse,
B= Base of the triangle
A = Altitude of the triangle
we are given,
B = 15 feet,
A = 8 feet
On substituting the values,
\(H^{2} = 15^{2} + 8^{2}\)
\(H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\\)
So hypotenuse = 17 feet
Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.
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..help pls (if ur a hacker or scammer im gonna report you :))
Answer:
9,
Step-by-step explanation:
if you look at the pattern its just adding up all the numbers above so its nine
Working efficiently, jordan can write 3 essays and outline 4 chapters each week. it must be true that?
It must be true that Jordan is a proficient writer who can efficiently write essays and outline chapters. This suggests that Jordan possesses good time organisation skills and is able to balance his workload effectively.
Working efficiently, Jordan can write 3 essays and outline 4 chapters each week. To determine what must be true, let's break it down step-by-step:
1. Jordan can write 3 essays each week.
This means that Jordan has the ability to complete 3 essays within a week. It indicates his writing capability and efficiency.
2. Jordan can outline 4 chapters each week.
This means that Jordan can create an outline for 4 chapters within a week. Outlining chapters is a task that requires organizing and summarizing the main points of each chapter.
Given these two statements, we can conclude the following:
- Jordan has the skill to write essays and outline chapters.
- Jordan's writing efficiency allows him to complete 3 essays in a week.
- Jordan's ability to outline chapters enables him to outline 4 chapters in a week.
It must be true that Jordan is a proficient writer who can efficiently write essays and outline chapters. This suggests that Jordan possesses good time management skills and is able to balance his workload effectively.
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please help this is so important and i need it now
Angle B will be 23 degrees
bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later
Step-by-step explanation:
Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️
the sine of angle in the picture to the right is 0.2.
what is COS(theta) ?
The value of cos(θ) is approximately 0.9798 based on the given information that the sine of the angle is 0.2.
In the given scenario, we are given that the sine of an angle (θ) is 0.2.
We can use the Pythagorean identity to find the value of the cosine (cos) of the angle.
The Pythagorean identity states that sin²(θ) + cos²(θ) = 1.
Given that sin(θ) = 0.2, we can substitute this value into the equation:
(0.2)² + cos²(θ) = 1
Simplifying, we have:
0.04 + cos²(θ) = 1
Subtracting 0.04 from both sides, we get:
cos²(θ) = 1 - 0.04
cos²(θ) = 0.96
Taking the square root of both sides, we have:
cos(θ) = ±√0.96
Since the angle in the picture is not specified, we cannot determine the sign of cos(θ) accurately.
However, it's worth noting that the cosine function is positive in the first and fourth quadrants of the unit circle, which correspond to angles between 0 and 90 degrees and between 270 and 360 degrees, respectively.
Considering the positive values, cos(θ) is approximately 0.9798.
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gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?
Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,
for a total of $95. We can set up the following equation to represent this information:
35 + 15x = 95
Solving for x, we get:
15x = 60
x = 4
Therefore, Gabriella skied for 6 hours.
Here is a more detailed explanation of how to solve the equation:
Subtract $35 from both sides of the equation.
15x = 60
15x - 35 = 60 - 35
15x = 25
Divide both sides of the equation by 15.
15x = 25
x = 25 / 15
x = 4
Therefore, x is equal to 4, which is the number of hours that Gabriella skied.
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Find the circumference of the given circle 11 ft
Answer:
69.12
Step-by-step explanation:
what is $20.00 take away $4.60
Which display is most likely to reveal association between X and Y ? A. Dot plot B. Scatter plot C. Histogram D. Pareto chart
Scatter plot Answ
Step-by-step explanation:
Determine the solution for the equation.
45 - k = 27, k = 15, 16, 17
Answer:
15
Step-by-step explanation:
45 - 27 = 15 B)
Inverse of [2,48] and [56,2130] ?
Answer: inverse of 2,48 there is none and the inverse of 56,2130 there is none
Step-by-step explanation: hope this helps
please solve for x, and give me an explanation on how you did so? 1/2x-1/3=5/6
=======================================================
Explanation:
Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?
If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.
Multiply both sides by 6 to get
(1/2)x - 1/3 = 5/6
6*[ (1/2)x - 1/3 ] = 6(5/6)
6*(1/2)x - 6*(1/3) = 6(5/6)
3x - 2 = 5
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At this point, the fractions are gone. We can now solve like so
3x-2 = 5
3x-2+2 = 5+2 ... adding 2 to both sides
3x = 7
3x/3 = 7/3 .... dividing both sides by 3
x = 7/3
Answer:
x=5/6
Step-by-step explanation:
12x−13=5612x-13=56
Combine 1212 and xx.
x2−13=56x2-13=56
Move all terms not containing xx to the right side of the equation.
Add 1313 to both sides of the equation.
x2=56+13x2=56+13
To write 1313 as a fraction with a common denominator, multiply by 2222.
x2=56+13⋅22x2=56+13⋅22
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.
Multiply 1313 and 2222.
x2=56+23⋅2x2=56+23⋅2
Multiply 33 by 22.
x2=56+26x2=56+26
Combine the numerators over the common denominator.
x2=5+26x2=5+26
Add 55 and 22.
x2=76x2=76
Multiply both sides of the equation by 22.
2⋅x2=2⋅